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Finding the Fourth Proportional to 1,619.08, 2,428.86 and 593

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Solution

The fourth proportional to 1,619.08, 2,428.86 and 593 is: 889.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.08 : 2,428.86 = 593 : x
  2. Step 2: Convert to fraction form
    1,619.08/2,428.86 = 593/x
  3. Step 3: Cross multiply
    1,619.08x = 2,428.86 × 593
  4. Step 4: Simplify right side
    1,619.08x = 1,440,313.98
  5. Step 5: Solve for x
    x = 1,440,313.98/1,619.08
  6. Step 6: Final answer
    x = 889.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.